The Taylor series for the function of two variables, f(x,y), around the point [tex](x_0,y_0), is: .
For positive integer n, there are n+ 1 "nth" derivatives to be evaluated at . Each will involve f differentiated with respect to x i times and with respect to y n- i times for i= 0 to n. Each is divided by n! and multiplied by .
Aug 7th 2010, 11:44 AM
Thank you. I was able to finally figure it out. I also found a version of the multivariable expansion that uses summation to make it shorter.